(a) Let L and L' be two lines in R3. L': X-1 = Y-2 = 2-5. Determine if the lines intersect at a point. If they do, write down the three coordinates of the intersection point in the three boxes below. If they do not, enter the three letters D, N, E, one in each box below (for DoesNotExist)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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(a) Let L and L' be two lines in R3
y-3
L:
L':
X-1
у-2
z-5
Determine if the lines intersect at a point. If they do, write down the three coordinates of the intersection point in the three boxes below. If they do not,
%3D
-1
enter the three letters D, N, E, one in each box below (for DoesNotExist)
(b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature is given by the function f(x,y,z). At time to , the insect is at the point P and is travelling at
a speed of 2 feet per second.
Which expression below gives the rate at which temperature is changing for the insect at time to ?
O FAP)-r(to)
O 2FRP)•r(to)
O FRP)-r'(to)
O FRP)-N(to)
O FRP)-T(t0)
Transcribed Image Text:(a) Let L and L' be two lines in R3 y-3 L: L': X-1 у-2 z-5 Determine if the lines intersect at a point. If they do, write down the three coordinates of the intersection point in the three boxes below. If they do not, %3D -1 enter the three letters D, N, E, one in each box below (for DoesNotExist) (b) An insect is flying along a path r(x,y,z) = (x(t), y(t), z(t)) in a room where the temperature is given by the function f(x,y,z). At time to , the insect is at the point P and is travelling at a speed of 2 feet per second. Which expression below gives the rate at which temperature is changing for the insect at time to ? O FAP)-r(to) O 2FRP)•r(to) O FRP)-r'(to) O FRP)-N(to) O FRP)-T(t0)
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